26121541355520 has 1152 divisors, whose sum is σ = 95430013660800. Its totient is φ = 6062890549248.

The previous prime is 26121541355489. The next prime is 26121541355521. The reversal of 26121541355520 is 2555314512162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26121541355521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58965104419 + ... + 58965104861.

It is an arithmetic number, because the mean of its divisors is an integer number (82838553525).

Almost surely, 2^{26121541355520} is an apocalyptic number.

26121541355520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26121541355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47715006830400).

26121541355520 is an abundant number, since it is smaller than the sum of its proper divisors (69308472305280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26121541355520 is a wasteful number, since it uses less digits than its factorization.

26121541355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

Adding to 26121541355520 its reverse (2555314512162), we get a palindrome (28676855867682).

The spelling of 26121541355520 in words is "twenty-six trillion, one hundred twenty-one billion, five hundred forty-one million, three hundred fifty-five thousand, five hundred twenty".